If the mode of the following data is 7, then the value of k in the data set 3, 8, 6, 7, 1, 6, 10, 6, 7, 2k+5, 9, 7, and 13 is:a.1b.3c.4d.7

To find the value of k in the given data set, we need to determine the value that satisfies the condition that the mode of the data is 7.

The mode is the value that appears most frequently in the data set. In this case, the mode is 7.

Looking at the data set, we see that the number 7 appears three times.

Now, we need to find the value of k that makes the number 7 appear three times in the data set.

We can start by substituting the given data into the equation 2k+5 = 7.

Simplifying the equation, we have 2k = 2.

Dividing both sides of the equation by 2, we find that k = 1.

Therefore, the value of k in the data set is 1.

So, the correct answer is a. 1.

The mode of a data set is the number that appears most frequently. In this case, we are told that the mode is 7. This means that 7 is the number that appears most frequently in the data set.

Looking at the data set, we can see that the number 7 appears three times, and the number 6 also appears three times. For 7 to be the mode, it must appear more times than any other number.

The only way for this to happen is if 2k+5 equals 7, because this would add another 7 to the data set, making 7 the number that appears most frequently.

So, we can set up the equation 2k+5 = 7 to find the value of k.

Subtract 5 from both sides of the equation to get 2k = 2.

Then divide both sides by 2 to solve for k.

This gives us k = 1.

So, the answer is a. 1.

To find the value of k in the given data set, we need to determine the value that satisfies the condition that the mode of the data is 7.

The mode of a data set is the value that appears most frequently. In this case, the mode is given as 7.

Looking at the data set, we see that the number 7 appears three times, which is the most frequent value.

Now, we need to find the value of k that makes the number 7 appear three times.

The data set includes the term 2k+5. To make this term equal to 7, we can set up the equation 2k+5 = 7 and solve for k.

Subtracting 5 from both sides of the equation, we have 2k = 2.

Dividing both sides by 2, we find that k = 1.

Therefore, the value of k in the data set is 1.

Hence, the correct answer is a. 1.

To find the value of k in the given data set, we need to determine the value that satisfies the condition that the mode of the data is 7.

The mode of a data set is the value that appears most frequently. In this case, the mode is given as 7.

Looking at the data set, we see that the number 7 appears three times, which is the most frequent value.

Now, we need to find the value of k that makes the number 7 appear three times.

The data set includes the term 2k+5. To make this term equal to 7, we can set up the equation 2k+5 = 7 and solve for k.

Subtracting 5 from both sides of the equation, we have 2k = 2.

Dividing both sides by 2, we find that k = 1.

Therefore, the value of k in the data set is 1.

Hence, the correct answer is a. 1.